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Finding the Third Proportional to 41,766.75 and 64,628.44

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Solution

The third proportional to 41,766.75 and 64,628.44 is: 100,003.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,766.75 : 64,628.44 = 64,628.44 : x
  2. Step 2: Convert to fraction form
    41,766.75/64,628.44 = 64,628.44/x
  3. Step 3: Cross multiply
    41,766.75x = 64,628.44 × 64,628.44
  4. Step 4: Simplify right side
    41,766.75x = 4,176,834,933.69
  5. Step 5: Solve for x
    x = 4,176,834,933.69/41,766.75
  6. Step 6: Final answer
    x = 100,003.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.